Results 71 to 80 of about 4,967 (212)
On recursively differentiable k-quasigroups [PDF]
, 2023 Parascovia Syrbu, Elena Cuznetov
openalex +1 more source
Quasigroups and related systems, 2009 The concept of a LGS-quasigroup is defined and investigated in this paper. The geometric concepts of parallelograms and midpoints are introduced in a general LGS-quasigroup and the geometrical interpretation in the LGS-quasigroup $C(\frac{;1};{;2};(3 + \sqrt 5))$ is given.
Kolar Begović, Zdenka +1 more
openaire +2 more sources
Axioms for trimedial quasigroups [PDF]
, 2003 We give new equations that axiomatize the variety of trimedial quasigroups. We also improve a standard characterization by showing that right semimedial, left F-quasigroups are trimedial.Comment: 6 pages, AMS-LaTeX. To appear in Comment. Math.
Kinyon, Michael K., Phillips, J. D.
core +3 more sources
Row‐Hamiltonian Latin squares and Falconer varieties
Proceedings of the London Mathematical Society, Volume 128, Issue 1, January 2024.Abstract A Latin square is a matrix of symbols such that each symbol occurs exactly once in each row and column. A Latin square L$L$ is row‐Hamiltonian if the permutation induced by each pair of distinct rows of L$L$ is a full cycle permutation. Row‐Hamiltonian Latin squares are equivalent to perfect 1‐factorisations of complete bipartite graphs.
Jack Allsop, Ian M. Wanless
wiley +1 more source
Quasigroups, Braided Hopf (Co)quasigroups and Radford’s Biproducts of Quasi-Diagonal Type
MathematicsGiven the Yetter–Drinfeld category over any quasigroup and a braided Hopf coquasigroup in this category, we first mainly study the Radford’s biproduct corresponding to this braided Hopf coquasigroup.
Yue Gu, Shuanhong Wang
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On groupoids with Bol-Moufang type identities [PDF]
Computer Science Journal of Moldova, 2020 We present results about groupoids of small order with Bol-Moufang type identities both classical and non-classical which are listed in [7], [9].
Grigorii Horosh +3 more
doaj
An Algebraic Approach of Topological Indices Connected with Finite Quasigroups
Journal of Function Spaces, Volume 2024, Issue 1, 2024.In mathematical chemistry, the algebraic polynomial serves as essential for calculating the most accurate expressions of distance‐based, degree‐distance‐based, and degree‐based topological indices. The chemical reactivity of molecules, which includes their tendency to engage in particular chemical processes or go through particular reactions, can be ...
Muhammad Nadeem +4 more
wiley +1 more source
Quasigroups in cryptology [PDF]
Computer Science Journal of Moldova, 2009 We give a review of some known published applications of quasigroups in cryptology.
V.A. Shcherbacov
doaj
On a special class of multivariate quadratic quasigroups (MQQs)
Journal of Mathematical Cryptology, 2013 In this paper, we study a special class of recently introduced quasigroups called multivariate quadratic quasigroups (MQQs) and solve several open research problems about them. Our main contributions are threefold. The first is to provide a standard form
Chen Yanling +2 more
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Set-theoretic solutions of the Yang-Baxter equation, RC-calculus, and Garside germs [PDF]
, 2014 Building on a result by W. Rump, we show how to exploit the right-cyclic law (x.y).(x.z) = (y.x).(y.z) in order to investigate the structure groups and monoids attached with (involutive nondegenerate) set-theoretic solutions of the Yang-Baxter equation ...
Dehornoy, Patrick
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